Thermal shock waves in nonlinear solid media

Heat transfer of the wave character is considered in linear and nonlinear media on the basis of a new law of the heat conduction with allowance not only for the first and second order temporal derivatives of the heat flux, but the higher order derivatives as well. This allowed us to reduce the heat transfer that was studied on the basis of a hyperbolic equation to a task about the heat transfer described by a parabolic equation with a retarded time argument. It is shown that under certain conditions for the heat transfer at free boundaries, the discontinuities of the first kind arising in the temperature distribution in nonlinear media are trans-formed to compression wave heat fluxes. The results obtained here confirm the assumptions made. The results can be used in designing the heat transfer in hypersonic vehicles under conditions of high-intensity aero-gas-dynamic and radiation heating.